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Find the Volume of the Solid Generated by Revolving the Region

Question 40

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region enclosed by x=2tany5,x=0,y=5π4x = 2 \tan \frac { y } { 5 } , x = 0 , y = - \frac { 5 \pi } { 4 }


A) 205π20 - 5 \pi
B) 20π5π220 \pi - 5 \pi ^ { 2 }
C) 10π52π210 \pi - \frac { 5 } { 2 } \pi ^ { 2 }
D) 5π+5π25 \pi + 5 \pi ^ { 2 }

Correct Answer:

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